A fully discrete direct discontinuous Galerkin Method for the fractional diffusion-wave equation

Applicable Analysis ◽

10.1080/00036811.2017.1281407 ◽

2017 ◽

Vol 97 (4) ◽

pp. 659-675 ◽

Author(s):

Chaobao Huang ◽

Na An ◽

Xijun Yu

Keyword(s):

Wave Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Diffusion Wave ◽

Download Full-text

Numerical algorithm based on an implicit fully discrete local discontinuous Galerkin method for the fractional diffusion-wave equation

Numerical Algorithms ◽

10.1007/s11075-014-9827-y ◽

2014 ◽

Vol 67 (4) ◽

pp. 845-862 ◽

Author(s):

Huiya Dai ◽

Leilei Wei ◽

Xindong Zhang

Keyword(s):

Wave Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Numerical Algorithm ◽

Local Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Diffusion Wave ◽

Fully Discrete ◽

Local Discontinuous Galerkin

Download Full-text

Local discontinuous Galerkin method for distributed‐order time‐fractional diffusion‐wave equation: Application of Laplace transform

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7077 ◽

2020 ◽

Author(s):

Hadi Mohammadi‐Firouzjaei ◽

Hojatollah Adibi ◽

Mehdi Dehghan

Keyword(s):

Wave Equation ◽

Laplace Transform ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Diffusion Wave ◽

Local Discontinuous Galerkin ◽

Distributed Order

Download Full-text

Local discontinuous Galerkin method for distributed-order time-fractional diffusion-wave equation: Application of Laplace transform

Authorea ◽

10.22541/au.158291307.73446559 ◽

2020 ◽

Author(s):

Hadi Mohammadi Firouzjaei ◽

Hojatollah Adibi ◽

Mehdi Dehghan

Keyword(s):

Wave Equation ◽

Laplace Transform ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Diffusion Wave ◽

Local Discontinuous Galerkin ◽

Distributed Order

Download Full-text

Analysis of a new finite difference/local discontinuous Galerkin method for the fractional diffusion-wave equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.01.054 ◽

2017 ◽

Vol 304 ◽

pp. 180-189 ◽

Author(s):

Leilei Wei

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Diffusion Wave ◽

Local Discontinuous Galerkin

Download Full-text

Error analysis of direct discontinuous Galerkin method for two-dimensional fractional diffusion-wave equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.12.048 ◽

2019 ◽

Vol 349 ◽

pp. 148-157 ◽

Author(s):

Na An ◽

Chaobao Huang ◽

Xijun Yu

Keyword(s):

Wave Equation ◽

Error Analysis ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Two Dimensional ◽

Download Full-text

Analysis of a Time-Stepping Discontinuous Galerkin Method for Fractional Diffusion-Wave Equations with Nonsmooth Data

Journal of Scientific Computing ◽

10.1007/s10915-019-01118-7 ◽

2020 ◽

Vol 82 (1) ◽

Author(s):

Binjie Li ◽

Tao Wang ◽

Xiaoping Xie

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Wave Equations ◽

Fractional Diffusion ◽

Diffusion Wave ◽

Nonsmooth Data ◽

Download Full-text

Stability and convergence of a fully discrete local discontinuous Galerkin method for multi-term time fractional diffusion equations

Numerical Algorithms ◽

10.1007/s11075-017-0277-1 ◽

2017 ◽

Vol 76 (3) ◽

pp. 695-707 ◽

Author(s):

Leilei Wei

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Stability And Convergence ◽

Fractional Diffusion Equations ◽

Fully Discrete ◽

Local Discontinuous Galerkin

Download Full-text

New local discontinuous Galerkin method for a fractional time diffusion wave equation

International Journal of Computer Mathematics ◽

10.1080/00207160.2018.1535110 ◽

2018 ◽

Vol 96 (9) ◽

pp. 1818-1838 ◽

Author(s):

S. Qasemi ◽

D. Rostamy

Keyword(s):

Wave Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Diffusion Wave ◽

Local Discontinuous Galerkin

Download Full-text

A numerical method based on fully discrete direct discontinuous Galerkin method for the time fractional diffusion equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2015.04.093 ◽

2015 ◽

Vol 264 ◽

pp. 483-492 ◽

Author(s):

Chaobao Huang ◽

Xijun Yu ◽

Cheng Wang ◽

Zhenzhen Li ◽

Na An

Keyword(s):

Diffusion Equation ◽

Galerkin Method ◽

Numerical Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Fully Discrete ◽

Time Fractional Diffusion Equation

Download Full-text

A fully discrete local discontinuous Galerkin method for one-dimensional time-fractional Fisher's equation

International Journal of Computer Mathematics ◽

10.1080/00207160.2013.866233 ◽

2014 ◽

Vol 91 (9) ◽

pp. 2021-2038 ◽

Author(s):

Xindong Zhang ◽

Yinnian He ◽

Leilei Wei ◽

Bo Tang ◽

Shaoli Wang

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

One Dimensional ◽

Fisher’S Equation ◽

Fully Discrete ◽

Local Discontinuous Galerkin ◽

Fisher's Equation

Download Full-text